Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312bu |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-41277145460721408 = -1 · 28 · 39 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,86289,-604366] |
[a1,a2,a3,a4,a6] |
Generators |
[35:1568:1] |
Generators of the group modulo torsion |
j |
3236192048/1879983 |
j-invariant |
L |
5.3056553191132 |
L(r)(E,1)/r! |
Ω |
0.21453266146785 |
Real period |
R |
3.0914030235771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999483023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34104d1 14616p1 |
Quadratic twists by: -3 -7 |